Finding the Fourth Proportional to 11,546.33, 17,322.12 and 3,648.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,546.33 : 17,322.12 = 3,648.80 : x
2. Step 2: Convert to fraction form
   11,546.33/17,322.12 = 3,648.80/x
3. Step 3: Cross multiply
   11,546.33x = 17,322.12 × 3,648.80
4. Step 4: Simplify right side
   11,546.33x = 63,204,864.85
5. Step 5: Solve for x
   x = 63,204,864.85/11,546.33
6. Step 6: Final answer
   x = 5,474.02